Approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions

By Yanchao Zang, Junping Li. Boundary Value Problems, 2013

57 citations recorded by the source corpus.

In this paper, the approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions and infinite delay in Hilbert spaces is studied. By using the Krasnoselskii-Schaefer-type fixed point theorem and stochastic analysis theory, some sufficient conditions are given for the approximate controllability of the system. At the end, an example is given to illustrate the application of our result. MSC:65C30, 93B05, 34K40, 34K45.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/aeb5509dc761ac442ce7b6f157633ea2f94985ae

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Lamia Bousmaha
2. Toufik Guendouzi
3. V. Vijayakumar
4. Rangasamy Murugesu

In Control and Systems Engineering

1. Lamia Bousmaha
2. Toufik Guendouzi
3. V. Vijayakumar
4. Rangasamy Murugesu

In Modeling and Simulation

1. Lamia Bousmaha
2. Toufik Guendouzi
3. V. Vijayakumar

Citations in the corpus

• Approximate Controllability of Fractional Neutral Stochastic Functional Integro-Differential Inclusions with Infinite Delay (2014, background): “At present, there are few works in approximate controllability problems for different kind of systems described by fractional deterministic and stochastic differential equations such as work done in [11,25,26,35].”